Representing the big tilting sheaves as holomorphic Morse branes
arXiv:1602.07382 · doi:10.1016/j.aim.2019.01.035
Abstract
We introduce Morse branes in the Fukaya category of a holomorphic symplectic manifold, with the goal of constructing tilting objects in the category. We give a construction of a class of Morse branes in the cotangent bundles, and apply it to give the holomorphic branes that represent the big tilting sheaves on flag varieties.
Final version; corrected some mistakes in the published version